Bonjour
Développer et réduire les expressions suivantes :
A = (4x + 7)(2x + 5)
A = 8x² + 20x + 14x + 35
A = 8x² + 34x + 35
B = (7 + 3x) (4x – 5)
B = 28x - 35 + 12x² - 15x
B = 12x² + 13x - 35
C = (6 - 3x)(7x – 5)
C = 42x - 30 - 21x² + 15x
C = - 21x² + 57x - 30
D = (-3 – 2x)(–6 – 3x)
D = 18 + 9x + 12x + 6x²
D = 6x² + 21x + 18
E = (7x - 8) (4x - 6) + 10
F = 28x² - 42x - 35x + 48 + 10
F = 28x² - 74x + 58
F = (4x – 3)(2x + 1) – 5x(4x – 3)
F = 8x² + 4x - 6x - 3 - 20x² + 15x
F = - 12x² + 13x - 3
G = (x - 1)(5x + 4) + (4 - 5x)(7x - 5)
G = 5x² - 4x - 5x - 4 + 28x - 20 - 35x² + 25x
G = - 30x² + 52x - 24
H = (2x + 3)(-4x + 1) + (3 + x)(x - 1)
H = - 8x² + 2x - 12x + 3 + 3x - 3 + x² - x
H = - 7x² - 8x
I = 3(2x – 1) – (6x - 1) (-3x + 8)
I = 6x - 3 - (- 18x² + 48x + 3x - 8)
I = 6x - 3 + 18x² - 48x - 3x + 8
I = 18x² - 45x + 5
J = (x + 7)(2x - 5) - (2x - 8) (3x + 2)
J = 2x² - 5x + 14x - 35 - (6x² + 4x - 24x - 16)
J = 2x² - 5x + 14x - 35 - 6x² - 4x + 24x + 16
J = - 4x² + 29x - 19
K = (4 - 5x)(8x + 1) + (4 + 5x)(7x + 9)
K = 32x + 4 - 40x² - 5x + 28x + 36 + 35x² + 45x
K = - 5x² + 100x + 40
L = 3(7x + 1)(4 – 2x) - (5 - x)(7x + 1)
L = 3 (28x - 14x² + 4 - 2x) - (35x + 5 - 7x² - x)
L = 84x - 42x² + 12 - 6x - 35x - 5 + 7x² + x
L = - 35x² + 44x + 7
M = (x + 5)² – (2x – 6) (4 - x) + (1 - 4x) + 3x²
M = x² + 10x + 25 - (8x - 2x² - 24 + 6x) + 1 - 4x + 3x²
M = x² + 10x + 25 - 8x + 2x² + 24 - 6x + 1 - 4x + 3x²
M = 6x² - 8x + 50.
